Questions

MATH Integrated Math III - Unit 27: Rational Expressions and Equations

For the first ten problems, select the simplified form from these rational expressions. State the letter of the correct answer.

1) Which expression is the simplified form for the given rational expression?

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2) Which expression is the simplified form for the given rational expression?

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3) Which expression is the simplified form for the given rational expression?

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4) Which expression is the simplified form for the product of the given rational expressions?

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5) Which expression is the simplified form of the product of the given rational expressions?

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6) Which expression is the simplified form of the product of the given rational expressions?

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7) Which expression is the simplified form of the product of the given rational expressions?

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8) Which expression is the simplified form of the quotient of the given rational expressions?

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9) Which expression is the simplified form of the quotient of the given rational expressions?

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10) Which expression is the simplified form of the product of the given rational expressions?

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For the next six problems, select the simplified form from these rational expressions. State the letter of the correct answer.

11) Which expression is the simplified form of the sum of the given rational expressions?

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12) Which expression is the simplified form of the difference of the given rational expressions?

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13) Which expression is the simplified form of the sum of the given rational expressions?

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14) Which expression is the simplified form of the difference of the given rational expressions?

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15) Which expression is the simplified form for the sum of the given rational expressions?

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16) Which expression is the simplified form of the difference of the given rational expressions?

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For the next four problems, find all excluded values for the denominator, and then solve the equation. State the letter of the correct answer.

17) What are the excluded values of the solution? What is the solution for “x”?

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18) What are the excluded values of the solution? What is the solution for “x”?

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19) What are the excluded values of the solution? What is the solution for “b”?

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20) What are the excluded values of the solution? What is the solution for “z”?

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Review

21) Find the discriminant, determine the number of solutions, and then solve for “x”. State the (a) discriminant, (b) the number of solutions, and (c) the solution(s).

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22) Find the discriminant, determine the number of solutions, and then solve for “x”. State the (a) discriminant, (b) the number of solutions, and (c) the solution(s).

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23) Evaluate.

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24) Evaluate.

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25) Write the expression as a single logarithm, and then evaluate. State the letter of the correct answer.

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26) Write the expression as a single logarithm, and then evaluate. State the letter of the correct answer.

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27) Find and state the inverse of the function, and also state whether the inverse is a function.

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28) Find and state the inverse of the function, and also state whether the inverse is a function.

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29) Perform the indicated operation.

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30) Perform the indicated operation.

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